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Proof step 9 from proof dir-not-open (previous step)

of[n] = mkfile(m, mode, m0), afs-cons(dirs, files), m ∈ dirs, n ∈ of, ∀ n. n ∈ of → of[n].ino ∈ files ⊦

User applied rule all left

And closed the goal!

Rule argument

pos: left 5 terms: n abort: F discard: T computed: T

Additional information

Used simplifier rules: ⊦ mkfile(m, mode, m0).ino = m; (s)% ⊦ afs-cons(dirs, files) ∧ ino ∈ dirs → ¬ ino ∈ files; (s) Used terms: n